2(a+8)=6a

Solution for 2(a+8)=6a equation:

Simplifying
2(a + 8) = 6a

Reorder the terms:
2(8 + a) = 6a
(8 * 2 + a * 2) = 6a
(16 + 2a) = 6a

Solving
16 + 2a = 6a

Solving for variable 'a'.

Move all terms containing a to the left, all other terms to the right.

Add '-6a' to each side of the equation.
16 + 2a + -6a = 6a + -6a

Combine like terms: 2a + -6a = -4a
16 + -4a = 6a + -6a

Combine like terms: 6a + -6a = 0
16 + -4a = 0

Add '-16' to each side of the equation.
16 + -16 + -4a = 0 + -16

Combine like terms: 16 + -16 = 0
0 + -4a = 0 + -16
-4a = 0 + -16

Combine like terms: 0 + -16 = -16
-4a = -16

Divide each side by '-4'.
a = 4

Simplifying
a = 4